Answer:
The equation is y = -3x.
The function is linear.
The point (2, -6) is on the graph of the function.
Step-by-step explanation:
<u>The function is linear.</u>
direct variation function is always linear. and linear means a straight line which is true in this case
<u>The equation is y = -3x.</u>
equation of line is y=mx+c
where, m=slope= -3.
it is linear so we are assuming it passes origin, (0,0).
m=(y2-y1)/(x2-x1)
now substituting m=-3 and (0,0) in x1 and y1.
-3=(y2-0)/(x2-0)
-3=y2/x2
y2=-3*x2
where y2=y, x2=x,
therefore,
y=-3x.
<u>The point (2, -6) is on the graph of the function</u>.
now,
y=-3x
substituting x=2,
y=-3(2)
y=-6
therefore,
if x=2, y=-6, (2,-6)
U have an equilateral triangle where all angles are equal to 60 degrees
7x + 4 = 60
7x = 60 - 4
7x = 56
x = 56/7
x = 8 <==
and if u wanted to find y, u would set it up like this : 8y + 12 = 60 and solve for y
Answer:
2 + 1.5x
Step-by-step explanation:
$2 to start, then $1.50 for x amount of miles, so you would just substitute whatever number of miles instead of x to get the total charge
Answer:
<BAE is congruent to <DAC (first choice)
Step-by-step explanation:
Triangle ACD has three angles: <DAC, <ACD, <ADC
Triangle ABE has three angles: <BAE, <AEB, <ABE
Angles ACD, ADC, AEB and ABE are all different angles. Look them up in the figure, and you'll see they are 4 different angles.
Angles BAE and DAC are the same angle.
Answer: <BAE is congruent to <DAC (first choice)